541846609920 has 2016 divisors, whose sum is σ = 2496331970496. Its totient is φ = 111476736000.

The previous prime is 541846609891. The next prime is 541846609937. The reversal of 541846609920 is 29906648145.

541846609920 is a `hidden beast` number, since 5 + 4 + 1 + 8 + 4 + 6 + 609 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5364817870 + ... + 5364817970.

It is an arithmetic number, because the mean of its divisors is an integer number (1238259906).

Almost surely, 2^541846609920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541846609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248165985248).

541846609920 is an abundant number, since it is smaller than the sum of its proper divisors (1954485360576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

541846609920 is a wasteful number, since it uses less digits than its factorization.

541846609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 541846609920 in words is "five hundred forty-one billion, eight hundred forty-six million, six hundred nine thousand, nine hundred twenty".